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Finding the Fourth Proportional to 4,554.63, 6,825.64 and 2,602.71

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Solution

The fourth proportional to 4,554.63, 6,825.64 and 2,602.71 is: 3,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.63 : 6,825.64 = 2,602.71 : x
  2. Step 2: Convert to fraction form
    4,554.63/6,825.64 = 2,602.71/x
  3. Step 3: Cross multiply
    4,554.63x = 6,825.64 × 2,602.71
  4. Step 4: Simplify right side
    4,554.63x = 17,765,148.47
  5. Step 5: Solve for x
    x = 17,765,148.47/4,554.63
  6. Step 6: Final answer
    x = 3,900.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.